A simple noise model with memory for biological systems

Fluctuation and Noise Letters

Volumn 5, Issue 2, 2005, Pages

  Chichigina, O ^a   Valenti, D ^b   Spagnolo, B ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b UNIVERSITY OF PALERMO   (Italy)

Author keywords

Noise induced effects; Population dynamics; Statistical mechanics

Indexed keywords

EID: 23744511550     PISSN: 02194775     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219477505002616     Document Type: Article

References (16)

1. See the special section on "Complex Systems", Science 284 (1999) 79-107.
2. O. N. Bjornstad and B. T. Grenfell, Noisy Clockwork: Time Series Analysis of Population Fluctuations in Animals, Science 293 (2001) 638-643.
3. See the special section on "Ecology Through Time", Science 293 (2001) 623-657.
4. W. J. Blake, M. Kaern, C. R. Cantor and J. J. Collins, Noise in eukaryotic gene expression, Nature 422 (2003) 633-637.
5. E. M. Ozbudak, M. Thattai, I. Kurtser, A. D. Grossman and A. van Oudenaarden, Regulation of noise in the expression of a single gene, Nat. Genet. 1 (2002) 69-73.
6. P. Turchin, L. Oksanen, P. Ekerholm, T. Oksanen and H. Henttonen, Are lemmings prey or predators? Nature 405 (2000) 562-565.
7. B. Spagnolo, A. Fiasconaro and D. Valenti, Noise induced phenomena in Lotka-Volterra systems, Fluctuation and Noise Letters 3 (2003) L177-L185.
8. D. Valenti, A. Fiasconaro and B. Spagnolo, Stochastic, resonance and noise delayed extinction in a model of two competing species, Physica A 331 (2004) 477-486.
9. B. Spagnolo, D. Valenti and A. Fiasconaro, Noise in ecosystems: A short review, Mathematical Biosciences and Engineering 1 (2004) 185-211.
10. H. C. Tuckwell and E. Le Corfec, A stochastic model for early HIV-1 population dynamics, J. Theor. Biol. 195 (1998) 451-463.
11. J. L. W. Gielen, A stochastic model for epidemics based on the renewal equation, J. Biological Systems 8 (2000) 1-20.
12. B. Spagnolo, M. Cirone, A. La Barbera and F. de Pasquale, Noise induced effects in population dynamics, J. Physics: Condensed Matter 14 (2002) 2247-2255.
13. R. Stratonovich, Topics in the Theory of Random Noise, Vol. 1, Gordon and Breach, New York - London (1963).
14. Ya. B. Zeldovich, Intermittency in random media, Sov. Phys. Usp. 30 (1987) 353-369.
15. I. M. Sokolov and V. V. Belik, Competition between Lévy jumps and continuous drift, Physica A 330 (2003) 46-52.
16. C. W. Gardiner, Handbook of Stochastic Methods for Physics cap. 4, Springer-Verlag, Berlin (1985).